20 Questions
What is the mathematical equation that represents the path of the bird in the game?
The mathematical equation that represents the path of the bird in the game is $y = -x^2 + 6x + 16$.
What does the variable y represent in the quadratic equation?
The variable y in the quadratic equation represents the height of the bird.
What does the variable x represent in the quadratic equation?
The variable x in the quadratic equation represents the distance the bird has traveled.
What value of y represents the height of the bird when it hits the ground?
The value of y that represents the height of the bird when it hits the ground is 0.
What is the equation asking in terms of the bird hitting the ground?
The equation is asking how far the bird will go before it hits the ground.
What is the strategy for solving quadratic equations?
Factoring
What is the standard form of the quadratic equation?
The standard form of the quadratic equation is $y = ax^2 + bx + c$.
What is the zero product property?
If the product of two things equals zero, then at least one of the things must be zero.
What is the intercept form of the quadratic equation?
The intercept form of the quadratic equation is $y = a(x - p)(x - q)$.
How can we find the x-intercepts of a quadratic equation?
By factoring the quadratic equation.
What does factoring do to the quadratic equation?
Factoring changes the equation from standard form to intercept form.
How can we determine the values of x in a quadratic equation?
By setting the equation equal to zero and finding the values of x that make the equation true.
What is the hint given to the player to ensure a direct hit?
The hint given to the player is to use the mathematical equation in the corner of the screen.
How many shots does the player have to make a hit in the game?
The player only has one shot to make a hit in the game.
How can we solve quadratic equations with negative x^2 terms?
By factoring out the negative from each term.
What is the factored form of the quadratic equation $x^2 - 6x + 8$?
$(x-2)(x-4)$
What is the factored form of the quadratic equation $2x^2 - 4x - 6$?
$(2x+2)(x-3)$
What is the value of x when the quadratic equation $x^2 - 6x + 8$ equals zero?
$x=2$ or $x=4$
What is the value of x when the quadratic equation $2x^2 - 4x - 6$ equals zero?
$x=-2$ or $x=3$
What does the factored form of a quadratic equation tell us?
It tells us the x-intercepts of the equation, or where the quadratic equation crosses the x-axis.
Test your skills in quadratic equation solving by factoring with this level one quiz. Can you find the right angle to launch your bird and hit those pesky pigs in the game 'Furious Fowls'? Put your knowledge to the test and see if you can solve the quadratic equations like a pro.
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